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Finding the Fourth Proportional to 32,184.95, 48,284.72 and 11,408.45

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Solution

The fourth proportional to 32,184.95, 48,284.72 and 11,408.45 is: 17,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.95 : 48,284.72 = 11,408.45 : x
  2. Step 2: Convert to fraction form
    32,184.95/48,284.72 = 11,408.45/x
  3. Step 3: Cross multiply
    32,184.95x = 48,284.72 × 11,408.45
  4. Step 4: Simplify right side
    32,184.95x = 550,853,515.42
  5. Step 5: Solve for x
    x = 550,853,515.42/32,184.95
  6. Step 6: Final answer
    x = 17,115.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.